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Finding the Third Proportional to 13,166.39 and 18,630.05

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Solution

The third proportional to 13,166.39 and 18,630.05 is: 26,360.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.39 : 18,630.05 = 18,630.05 : x
  2. Step 2: Convert to fraction form
    13,166.39/18,630.05 = 18,630.05/x
  3. Step 3: Cross multiply
    13,166.39x = 18,630.05 × 18,630.05
  4. Step 4: Simplify right side
    13,166.39x = 347,078,646.56
  5. Step 5: Solve for x
    x = 347,078,646.56/13,166.39
  6. Step 6: Final answer
    x = 26,360.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.